{"id":"https://openalex.org/W2074997208","doi":"https://doi.org/10.1137/080732341","title":"Pattern Formation in a Model of an Injured Nerve Fiber","display_name":"Pattern Formation in a Model of an Injured Nerve Fiber","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2074997208","doi":"https://doi.org/10.1137/080732341","mag":"2074997208"},"language":"en","primary_location":{"id":"doi:10.1137/080732341","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080732341","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113133561","display_name":"D. G. Aronson","orcid":null},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"D. G. Aronson","raw_affiliation_strings":["University of\u00a0Minnesota"],"affiliations":[{"raw_affiliation_string":"University of\u00a0Minnesota","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053096903","display_name":"V\u0131\u0301ctor Padr\u00f3n","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"V\u00edctor Padr\u00f3n","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5113133561"],"corresponding_institution_ids":["https://openalex.org/I130238516"],"apc_list":null,"apc_paid":null,"fwci":0.4808,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.65720482,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"70","issue":"3","first_page":"789","last_page":"802"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10407","display_name":"Lipid Membrane Structure and Behavior","score":0.9879000186920166,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/standing-wave","display_name":"Standing wave","score":0.7186894416809082},{"id":"https://openalex.org/keywords/fiber","display_name":"Fiber","score":0.6815845966339111},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.5934717059135437},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.5338674187660217},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4606054425239563},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4313378632068634},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38354796171188354},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.380695104598999},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.23837178945541382},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19020715355873108},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.17668688297271729},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.17480790615081787},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.06366264820098877}],"concepts":[{"id":"https://openalex.org/C199956316","wikidata":"https://www.wikidata.org/wiki/Q123300","display_name":"Standing wave","level":2,"score":0.7186894416809082},{"id":"https://openalex.org/C519885992","wikidata":"https://www.wikidata.org/wiki/Q161","display_name":"Fiber","level":2,"score":0.6815845966339111},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.5934717059135437},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.5338674187660217},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4606054425239563},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4313378632068634},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38354796171188354},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.380695104598999},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.23837178945541382},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19020715355873108},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.17668688297271729},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.17480790615081787},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.06366264820098877},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/080732341","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080732341","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W43144976","https://openalex.org/W1967848725","https://openalex.org/W1985314283","https://openalex.org/W1985940938","https://openalex.org/W2009375605","https://openalex.org/W2022748003","https://openalex.org/W2055563783","https://openalex.org/W2061191702","https://openalex.org/W2126766821","https://openalex.org/W2168973270","https://openalex.org/W2187250540"],"related_works":["https://openalex.org/W2724482786","https://openalex.org/W2095182047","https://openalex.org/W3020426776","https://openalex.org/W1970352743","https://openalex.org/W3021742070","https://openalex.org/W2793023957","https://openalex.org/W1978499503","https://openalex.org/W2032740497","https://openalex.org/W2086329748","https://openalex.org/W2054039886"],"abstract_inverted_index":{"We":[0,9,39],"consider":[1],"the":[2,13,22,69,89],"FitzHugh\u2013Nagumo\u2013McKean":[3],"model":[4,26],"of":[5,18,55,64],"a":[6,29,53,85],"nerve":[7],"fiber.":[8,90],"are":[10,37,59,72],"interested":[11],"in":[12,31,88],"effect":[14],"on":[15],"signal":[16,80],"transmission":[17,81],"an":[19,48],"injury":[20],"to":[21],"fiber,":[23],"which":[24,32,65],"we":[25],"by":[27],"introducing":[28],"gap":[30],"both":[33],"reaction":[34],"and":[35,82],"recovery":[36],"absent.":[38],"find":[40],"that":[41],"for":[42],"all":[43],"parameter":[44,56],"values":[45,57],"there":[46,58],"is":[47,66],"unstable":[49],"standing":[50,61,76],"wave.":[51],"For":[52],"subset":[54],"three":[60],"waves,":[62],"one":[63],"stable":[67,75],"while":[68],"remaining":[70],"two":[71],"unstable.":[73],"The":[74],"wave":[77],"can":[78],"block":[79],"set":[83],"up":[84],"stationary":[86],"pattern":[87]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}